Question

3. The profit for a company is given by the equation y = -0.0002x 2 + 140x – 250,000 where x is the number of units sold and y is the profit. Determine the number of units that should be sold to yield the maximum profit.

Answer 1

9514 1404 393

Answer:

  350,000

Step-by-step explanation:

The vertex of the quadratic ax²+bx+c is located at x=-b/(2a). For the given profit function, the number of units (x) that will produce maximum profit is ...

  x = -(140)/(2(-0.0002)) = 1,400,000/4

  x = 350,000

350,000 units should be sold to maximize profit.